A balloon leaves from a point A vertically upward at uniform speed A man standing 200m away from poi...........

Quantitative Aptitude ( CCS) Trignometry

A balloon leaves from a point A vertically upward at uniform speed. A man standing 200m away from point A observes the angle of elevation of the balloon to be 60⁰ after 3 minutes. Find the speed of the balloon.

2.423m/s

1.924m/s

1.863m/s

2.875m/s

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Explanation:

Let the man is standing at point C, so ∠ACB = 60⁰.
In ΔACB, tan 60⁰ = AB/AC
⇒ √3 = AB/200
Heights & Distance Probs
⇒ AB = 200√3 = 200 × 1.732 = 346.4m
∴ The balloon covered 346.4m in 180 sec.
∴ The speed of balloon = 346.4/180 = 1.924 m/s